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Finding the Fourth Proportional to 451.42, 678.51 and 396.76

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Solution

The fourth proportional to 451.42, 678.51 and 396.76 is: 596.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.42 : 678.51 = 396.76 : x
  2. Step 2: Convert to fraction form
    451.42/678.51 = 396.76/x
  3. Step 3: Cross multiply
    451.42x = 678.51 × 396.76
  4. Step 4: Simplify right side
    451.42x = 269,205.63
  5. Step 5: Solve for x
    x = 269,205.63/451.42
  6. Step 6: Final answer
    x = 596.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.